Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8635 and 8641 the smallest integer that is 74615035 that is divisible by both numbers.
Least Common Multiple (LCM) of 8635 and 8641 is 74615035.
LCM(8635,8641) = 74615035
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 8635 and 8641. First we will calculate the prime factors of 8635 and 8641.
Prime Factorization of 8635
5 | 8635 |
11 | 1727 |
157 | 157 |
1 |
Prime factors of 8635 are 5, 11,157. Prime factorization of 8635 in exponential form is:
8635 = 51×111×1571
Prime Factorization of 8641
8641 | 8641 |
1 |
Prime factors of 8641 are 8641. Prime factorization of 8641 in exponential form is:
8641 = 86411
Now multiplying the highest exponent prime factors to calculate the LCM of 8635 and 8641.
LCM(8635,8641) = 51×111×1571×86411
LCM(8635,8641) = 74615035
Factors of 8635
List of positive integer factors of 8635 that divides 8635 without a remainder.
1, 5, 11, 55, 157, 785, 1727, 8635
Factors of 8641
List of positive integer factors of 8641 that divides 8641 without a remainder.
1, 8641
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8635 and 8641, than apply into the LCM equation.
GCF(8635,8641) = 1
LCM(8635,8641) = ( 8635 × 8641) / 1
LCM(8635,8641) = 74615035 / 1
LCM(8635,8641) = 74615035
(i) The LCM of 8641 and 8635 is associative
LCM of 8635 and 8641 = LCM of 8641 and 8635
1. What is the LCM of 8635 and 8641?
Answer: LCM of 8635 and 8641 is 74615035.
2. What are the Factors of 8635?
Answer: Factors of 8635 are 1, 5, 11, 55, 157, 785, 1727, 8635. There are 8 integers that are factors of 8635. The greatest factor of 8635 is 8635.
3. What are the Factors of 8641?
Answer: Factors of 8641 are 1, 8641. There are 2 integers that are factors of 8641. The greatest factor of 8641 is 8641.
4. How to Find the LCM of 8635 and 8641?
Answer:
Least Common Multiple of 8635 and 8641 = 74615035
Step 1: Find the prime factorization of 8635
8635 = 5 x 11 x 157
Step 2: Find the prime factorization of 8641
8641 = 8641
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 74615035 = 5 x 11 x 157 x 8641
Step 4: Therefore, the least common multiple of 8635 and 8641 is 74615035.